# Questions tagged [mathematics]

The abstract study of topics encompassing quantity, structure, space, change, and other properties

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### Input type error from raster calculation in ArcPy

I am trying to do raster calculation in ArcPy, which includes the application of expi (exponential integral function). Here is my code : import arcpy import scipy.special as sp from scipy.special ...
26 views

### Calculate mercator map pixel size from viewport

What is the algorithm to calculate the pixel size of the entire mercator map. Known information (see image): Viewport's Upper-Left corner (Lat, long). Viewport's Lower-Right corner (Lat, long). ...
87 views

### ECEF coordinates to geodetic coordinates: Where is error in calculation?

I know, there are several questions to this topic, but I am just searching for the error in my own equations. I have no deeper geodetic background, but I am trying to understand these formulas instead ...
59 views

### High resolution x,y dataset for Mollweide projection convert to latitude and longitude coordinates

I have a 2D array that's 144000 x 64000 that has some values that are irrelevant to the question. Let's say the array can be used like an X, Y coordinate system. I somehow need to get the Latitude and ...
59 views

### How to transform camera calibration parameters to other coordinate system?

I have all camera calibration parameters (X0, Y0, focal length, R0, P0, P1, K0, K1, coarse rotation, rotation, translation) and position of the image in WGS84 (XYZ in meters) and other parameters like ...
45 views

### Seeking documentation about non-iterative UTM to Lat-Long projection formulas

In Hager, John W., James F. Behensky, and Brad W. Drew. "The universal grids: Universal transverse mercator (utm) and universal polar stereographic (ups)." DMA technical manual 8358 (1989). I ...
151 views

### Calculating Center (GPS Point) and Radius (km) of n GPS points

I'm new to GPS and position mapping but i have a background in programing and some of the math related to it. I've been tasked with writing a small golang program that takes n GPS points (DMS) and ...
36 views

### Converting latitude/longitude into a slab number (or item number) and vice versa?

Purpose: To compress the data transmission for the longitude and the latitude. Initially these datas are in the form DD.MM.mmmm: degrees, minutes, ten thousandths of a minute. Latitude stands under 28 ...
100 views

### Calculate weighted azimuth/bearing of a line

Given the line LINESTRING(-9.086532643219698 -7.939337106873815,-1.396102955719698 -0.9775148048290135,-0.780868580719698 -0.7138718839794582,-0.077743580719698 -0.6699297767574899,0.581436106780302 ...
369 views

### Understanding cosine-weighting?

I am studying a paper where they use a method to calculate the vertical distribution of water content (ice, water vapor, cloud water) from the amount of ice on the martian surface. In the paper they ...
27 views

### How is the Point on surface tool calculated in QGIS [duplicate]

I am interested to know how the Point on surface tool works in QGIS 3. I am choosing to use this rather than the Centroids tool which works of the "center of mass" methodology because this creates a ...
65 views

### Applying a two step floating catchment with boundary limitations

The literature states that gravity models and the two step floating catchment area (which in itself is a version of the gravity model) method for analysing the accessibility of healthcare services by ...
64 views

### How to run a Epanechnikov (parabolic) decay in QGIS 3.6 field calculator

Does anyone know how you would implement a Epanechnikov (parabolic) decay to a field in QGIS field calculator. I am trying to apply varying distance decay functions in order to assess the best ...
189 views

### calculating HRMS using NMEA sentences including GPGGA , GPGSV, GLGSV, QZGSV,QZGSA, GPGSA?

I have NMEA sentences including GPGGA , GPGSV, GLGSV, QZGSV,QZGSA, GPGSA and GNGSA. my goal is to achieve HRMS accuracy meter. produced android devices for special intent gives GP/GN GST nmea message ...
190 views

### Procedure of transforming coordinates?

I'm trying to understand the math behind this transformation. I should note that I've been able to perform the transformation using GeoPandas, but I'd like to understand what is going on under the ...
45 views

### How to compare centrality of points in different shaped and sized polygons

Suppose I have several polygons of varying shape and size, each containing a single point. I want to compare the centrality of each point, and determine which point is more central to its polygon. I'm ...
1k views

### Calculate angle between nodes or point in line in QGIS

I want to check the digitization of line in correct direction, so for that I need to know the angle of each node in line. Is that possible in QGIS?
6k views

### How to add meters to EPSG:4326 coordinates? [duplicate]

I've some lat/long in EPSG:4326 coordinate system like Eiffel Tower position : ["lat" : 48.858274,"lon" : 2.2944] For automated tests I would like to get, for every points of my dataset, the x and y ...
129 views

### GRASS GIS: Getting know about stream power index (SPI) computation by r.watershed function

I need to know exact way how stream power index (SPI) is computed by module r.watershed. On the help page is that SPI is α * tan(β), where: α is cumulative upslope area draining through a point per ...
113 views

### Postgresql - problem updating row with complex calculation

A calculation for the replacement value of a tree exists: Variables: index_price for species; circumference of tree; condition measures: vitality, root_injuries, stem_injuries, crown_injuries (A ...
118 views

### What's the math behind moving from a starting point in the direction of another one?

I am working with decimal-degree coordinates for a software and lack geographic background. I want to convert the coordinates to a grid to calculate distances and then move around using standard ...
71 views

### Kriging: Large standard error very close to known value points

I am attempting to create surfaces of strata via Kriging in Arc GIS from borehole data. In addition to the predicted surface I also want surfaces showing 95% confidence above and below the predicted ...
259 views

### Formula for transforming from EPSG:4326 to EPSG:3003 or EPSG:3004

This system is used in Italy. I came across this: It says that lambda zero is 9° if it's to epsg:3003 otherwise if it's to epsg:3004 it's 15° I came up with this Java code, but the result is wrong: ...
3k views

### Converting from ECEF to geodetic coordinates

I am trying to convert an ECEF coordinate to a geodetic coordinate using this procedure, but I don't fully understand the process. It is prefaced by stating the geodetic parameters {a,b,e,e'} are ...
387 views

### Calculate turn required to follow a line of latitude

Lines of latitude are not geodesic except at the equator. So to follow perfect eastern course in the northern hemisphere in a vehicle a left turn is constantly required. We can express a turn as the ...
497 views

### Calculate lat/long as percentage distance between two points (MSSQL)

I've loaded the US road shapes into MSSQL. I've determined the query to locate the segment of road for a specific address. The segment contains a "linestring" from a series of points. I'm trying to ...
508 views

### Estimating resolution of vector data?

I got an old vector dataset with polygons covering a continent. The data was first published on paper at scale 1:5 000 000 and was later digitalized. I don't have the original data and no information ...
3k views

### Translating latitude and longitude into “polar coordinates” around a point

Times Square in New York City has the coordinates (as per Google Maps): 40.7589, -73.9851 The Barrymore Theater has the coordinates (again, as per Google maps): 40.7601, -73.9862 Given that ...
2k views

### Finding the Point of Intersection Between Two Line Segments and Level of Error

I am working on calculating the intersection of two lines. Each line segment is represented as two geographic coordinate pairs. Additionally, each line segment is less than 1km in distance. My ...
312 views

### Creating local coordinate system from orthorectified image from drone

My plan is to use a drone and pix4d to map an area and produce a top down image. I have some position data that is in its own reference frame / Coordinate system. My question is what suggestions or ...
1k views

### How can I calculate the coordinates of a point on the intersection of two parallel lines with a bisecting line with pyQGIS? [closed]

I am building some sort of homemade pyQGIS-Buffer-tool as the existing flat-end-buffer-tools are not working for me ( see v.distance.buffer does not create proper buffers with flat endcaps) Therefore ...
50 views

### Determine on what side of a line my current position is at, no matter orientation

I know that this question has been up before, but I'll give it a shot since it's not exactly the same question. Imagine a straight line consisting of a start point and an end point. The orientation ...
264 views

### Getting lat/lng of an object X inches from the GPS? [duplicate]

I'm working on a project where I have a GPS and two receivers to create a triangle with a transmitter. The problem I'm trying to figure out right now is how can I get the position of the two receivers?...
36 views

### How to resolve a rectangle with know points? [closed]

How do I find the coordinates(lat, lon) for D and E in the following rectangle? I know: A (lat, lon) B (lat, lon) C (lat, lon) AE, BE, AC
648 views

### Bearing to X,Y, Z

I’m working on a small project where I’m testing the ability of a laser to accurately measure the angle of a wire. My control for the experiment gives me X,Y,Z coordinates for a point on the wire and ...
778 views

### How to generate missing points in GPS trajectories?

I have some GPS trajectories that include gps locations recorded on variable frequencies (every 1 min ,5 min , 20 min,etc.)using a geographic projection WGS84. In my work, i need a fine-grained GPS ...
61 views

### calculate turning acceleration from a compass

I have degree and timestamp and want to calculate the turning acceleration. What to trigger if the compass is turning fast. Is there a mathematic way to get an acceleration parameter?
186 views

### Calculate location on line with known azimuth to point

I have the following situation (consider distances up to 300m - without great circle etc. affects): How can I calculate the unknown location when I have all other locations in the triangle and ...
57 views

### Arithmetics with Coordinates [duplicate]

I wonder if I can do simple arithmetics with coordinates. Can I do substraction of coordinates like 2.570801 (lng) 46.89023 (lat) / 17.424316 (lng) 55.15377 (lat)?! Or will that get messy without a ...
348 views

### Index express the similarity in shape between two data sets

I have two data sets. One is points in the blue curve. The other is points in the green curve. Now I want to find a property (P) or something else like index that has the following characteristics: ...
1k views

### Finding Intersection of Two Circle given Lat/Lon and radius?

I am attempting to calculate the intersection of two circle on the Earth with a given latitude, longitude and radius. I started with this Calculating intersection of two Circles? These circles will ...
531 views

### What mathematical processes does a GPS receiver use to determine position?

I'm writing a report on the mathematics of GPS, but I'm wondering what methods the GPS actually uses. What I've done is set up the four sphere equations and solve them using the Newton-Raphson method ...
2k views

### Project location on a (great circle) path

I've been searching this SE site for quite a few hours now, and I'm still struggling to find a solution to my question. My goal is that given a way in OSM and my location (lat/lon coordinates), I want ...
5k views

### Converting latitude, longitude (epsg:4326) into EPSG:3857?

I'm looking to study the math involved to see how a given latitude and longitude in decimal degrees can be converted to EPSG:3857. Can anybody point to a good reference or a possible Ppython/C/C++/...
1k views

### Check if a point coordinate is between linestring coordinates

I know that, linestring is a vector and if i want to check that, if point coordinates are between linestring beginning and ending coordinates then i need to use vector comparison (x2 > x && ...
181 views

### How do I compute uncertainties in the positions transformed using Helmert transformation?

I am familiar with Python, MATLAB and Mathematica. My data is given by Cartesian coordinates (positions in X,Y,Z (meters), standard deviations XX, YY, ZZ (meters) and a correlation matrix (XY, YZ, ZX)....
914 views

### Aerial photogrammetry book with all the math

Can anyone recommend a book that hits all the math for the general situation of doing serious photogrammetry calculations on aerial photographs? Particularly an inexpensive book or one I can get ...
3k views

### How to calculate the center and radius of a circle based on points

I have a set of lat/long points. I need to calculate the center point and radius of a circle that will encompass all the points. The co-ordinate system used is latitude/longitude as per google maps. ...